It is 10x the value of the one in the thousands place
Answer:
d. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
This would be a function as long as one x-value doesn't correspond to two y-values. If two x-values correspond to one y-value though, it still represents a function.
an example that opposes or contradicts an idea or theory.
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.
Step-by-step explanation:
- Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.
Perimeter of a rectangle = 2(length + width)
100 = 2(x + 12 + x)
100 = 4x + 24
4x = 100 - 24 = 76
∴ x = 76/4 = 19 cm
∴ Length = 19 + 12 = 31 cm
